Question

The points in the table lie on a line. Find the slope of the line.

Answer 1

slope = 4

Explanation:

Calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 10) ← 2 ordered pairs from the table

m =
`(10-2)/(3-1)` =
`(8)/(2)` = 4

Answer 2

The slope of the line represented by the points in the table is 4, which indicates a rise of 4 on the vertical axis for every 1 unit increase on the horizontal axis.

To find the slope of the line using the given points, we can use the formula for slope, which is (y2 - y1) / (x2 - x1). Taking any two points from the table, for example, (1, 2) and (3, 10), we can calculate the slope.

Using these two points, the slope (m) is:

m = (y2 - y1) / (x2 - x1)

m = (10 - 2) / (3 - 1)

m = 8 / 2

m = 4

Therefore, the slope of the line that these points lie on is 4. This means there is a rise of 4 on the vertical axis for every increase of 1 on the horizontal axis.